Dans une Note antérieure, le premier auteur a donné une formule locale explicite pour les intégrales orbitales semi-simples associées au Casimir. Dans cette Note, nous étendons cette formule à tous les éléments du centre de l'algèbre enveloppante de l'algèbre de Lie considérée.
In a previous Note, the first author has established an explicit local formula for semi-simple orbital integrals associated with the Casimir. In this Note, we extend the formula to all elements of the center of the Lie algebra.
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@article{CRMATH_2019__357_11-12_897_0,
author = {Bismut, Jean-Michel and Shen, Shu},
title = {Int\'egrales orbitales semi-simples et centre de l'alg\`ebre enveloppante},
journal = {Comptes Rendus. Math\'ematique},
pages = {897--906},
publisher = {Elsevier},
volume = {357},
number = {11-12},
year = {2019},
doi = {10.1016/j.crma.2019.11.001},
language = {fr},
url = {http://www.numdam.org/articles/10.1016/j.crma.2019.11.001/}
}
TY - JOUR AU - Bismut, Jean-Michel AU - Shen, Shu TI - Intégrales orbitales semi-simples et centre de l'algèbre enveloppante JO - Comptes Rendus. Mathématique PY - 2019 SP - 897 EP - 906 VL - 357 IS - 11-12 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2019.11.001/ DO - 10.1016/j.crma.2019.11.001 LA - fr ID - CRMATH_2019__357_11-12_897_0 ER -
%0 Journal Article %A Bismut, Jean-Michel %A Shen, Shu %T Intégrales orbitales semi-simples et centre de l'algèbre enveloppante %J Comptes Rendus. Mathématique %D 2019 %P 897-906 %V 357 %N 11-12 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2019.11.001/ %R 10.1016/j.crma.2019.11.001 %G fr %F CRMATH_2019__357_11-12_897_0
Bismut, Jean-Michel; Shen, Shu. Intégrales orbitales semi-simples et centre de l'algèbre enveloppante. Comptes Rendus. Mathématique, Tome 357 (2019) no. 11-12, pp. 897-906. doi : 10.1016/j.crma.2019.11.001. http://www.numdam.org/articles/10.1016/j.crma.2019.11.001/
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